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mestny [16]
3 years ago
7

What is the measure of c? a = 15 j = 24 k = 32

Mathematics
1 answer:
inessss [21]3 years ago
4 0

Answer:

The answer to your question is c = 20

Step-by-step explanation:

Data

a = 15

j = 24

k = 32

c = ?

Process

Use proportions to solve this problem. Compare the small triangle and the large triangle.

1.- Proportion of the small triangle

             c/15

2.- Proportion of the large triangle

            k/j

3.- Equal but terms and solve for c

            c/15 = k/j

-Substitution

            c / 15 = 32/24

            c = 32(15)/24

-Result

            c = 20

       

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Erica can thoroughly analyze the company’s monthly credit card statements
lbvjy [14]

Answer:

240 minutes or 4 hours

Step-by-step explanation:

So if it takes Erica 80 minutes to analyze the company's monthly credit card statements, she will get 30/80 of it done in 30 minutes.

If it takes Alexa 2 hours to analyze the company's monthly credit card statements, she will get 30/120 of it done in 30 minutes.

Add 15 to each of the fractions because they analyze the company's monthly credit card statements with Mack for 15 more minutes.

So you have 45/80 and 45/120.

Now add both fractions by finding the lowest common denominator which is 240.

135/240 + 90/240 = 225/240

So Mack did the remaining 15/240.

Now to find how long it would take him to analyze the company's monthly credit card statements by himself divide 240 by 15 which is 16.

Then multiply

15 x 16 = 240

so it would take him 240 minutes or 2 hours.

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3 years ago
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Answer:

Step-by-step explanation:

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8 0
3 years ago
Simplify nine square root of two minus three square root of seven plus square root of eight minus square root of twenty eight.
avanturin [10]

Answer:

11\sqrt{2} - 5\sqrt{7}

Option (A) is the correct answer.

Step-by-step explanation:

9\sqrt{2} - 3\sqrt{7} + \sqrt{8} - \sqrt{28}

Now, \sqrt{8} = \sqrt{2 \times 2 \times 2} = 2\sqrt{2}

\sqrt{28} = \sqrt{2 \times 2 \times 7} = 2\sqrt{7}

∴ 9\sqrt{2} - 3\sqrt{7} + \sqrt{8} - \sqrt{28}

= 9\sqrt{2} - 3\sqrt{7} + 2\sqrt{2} - 2\sqrt{7}

= 9\sqrt{2} + 2\sqrt{2} - 3\sqrt{7} - 2\sqrt{7}

= 11\sqrt{2} - 5\sqrt{7}

Therefore option (a) is the correct answer.

6 0
3 years ago
Read 2 more answers
A 30 ft ladder leans against the side of a house. If the base of the ladder sits 10 ft away from the base of the house, what is
musickatia [10]

Answer:

70.5°

Step-by-step explanation:

To solve for the ladder's angle of elevation, we solve using the Trigonometric function of Cosine

= cos θ = Adjacent/Hypotenuse

Where

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cos θ = 10/30

cos θ = 1/3

θ = arc cos 1/3

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Approximately = 70.5°

Therefore, the ladder's angle of elevation is 70.5°

3 0
3 years ago
Larry joggers 2 3/5 km. How many kilometers and meters did he jog?​
Montano1993 [528]

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Step-by-step explanation:  The distance jog by Larry is given by

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We are to find the distance jog by Larry in kilometres and metres.

We know that

1 kilometres = 1000 metres.

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Thus, the answer is 2 kilometres and 600 metres.

3 0
3 years ago
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